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All results from a given calculation for C6H6 (Benzene)

using model chemistry: wB97X-D/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at wB97X-D/6-31G(2df,p)
 hartrees
Energy at 0K-232.181241
Energy at 298.15K-232.187619
HF Energy-232.181241
Nuclear repulsion energy204.062064
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at wB97X-D/6-31G(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1g 3230 3230 0.00 363.67 0.10 0.19
2 A1g 1032 1032 0.00 54.63 0.08 0.15
3 A2g 1373 1373 0.00 0.00 0.75 0.86
4 A2u 706 706 81.19 0.00 0.00 0.00
5 B1u 3192 3192 0.00 0.00 0.00 0.00
6 B1u 1022 1022 0.00 0.00 0.00 0.00
7 B2g 1030 1030 0.00 0.00 0.75 0.86
8 B2g 732 732 0.00 0.00 0.75 0.86
9 B2u 1341 1341 0.00 0.00 0.00 0.00
10 B2u 1181 1181 0.00 0.00 0.00 0.00
11 E1g 885 885 0.00 3.50 0.75 0.86
11 E1g 885 885 0.00 3.47 0.75 0.86
12 E1u 3218 3218 38.28 0.00 0.00 0.00
12 E1u 3218 3218 38.25 0.00 0.00 0.00
13 E1u 1525 1525 9.10 0.00 0.00 0.00
13 E1u 1525 1525 9.11 0.00 0.00 0.00
14 E1u 1075 1075 3.91 0.00 0.00 0.00
14 E1u 1075 1075 3.89 0.00 0.00 0.00
15 E2g 3202 3202 0.00 126.75 0.75 0.86
15 E2g 3202 3202 0.00 126.77 0.75 0.86
16 E2g 1668 1668 0.00 9.52 0.75 0.86
16 E2g 1668 1668 0.00 9.56 0.75 0.86
17 E2g 1209 1209 0.00 9.35 0.75 0.86
17 E2g 1209 1209 0.00 9.35 0.75 0.86
18 E2g 623 623 0.00 3.17 0.75 0.86
18 E2g 623 623 0.00 3.18 0.75 0.86
19 E2u 990 990 0.00 0.00 0.00 0.00
19 E2u 990 990 0.00 0.00 0.00 0.00
20 E2u 416 416 0.00 0.00 0.00 0.00
20 E2u 416 416 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22230.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 22230.5 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at wB97X-D/6-31G(2df,p)
ABC
0.19139 0.19139 0.09569

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G(2df,p)

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.390 0.000
C2 1.204 0.695 0.000
C3 1.204 -0.695 0.000
C4 0.000 -1.390 0.000
C5 -1.204 -0.695 0.000
C6 -1.204 0.695 0.000
H7 0.000 2.475 0.000
H8 2.143 1.237 0.000
H9 2.143 -1.237 0.000
H10 0.000 -2.475 0.000
H11 -2.143 -1.237 0.000
H12 -2.143 1.237 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39012.40772.78022.40771.39011.08472.14873.39083.86493.39082.1487
C21.39011.39012.40772.78022.40772.14871.08472.14873.39083.86493.3908
C32.40771.39011.39012.40772.78023.39082.14871.08472.14873.39083.8649
C42.78022.40771.39011.39012.40773.86493.39082.14871.08472.14873.3908
C52.40772.78022.40771.39011.39013.39083.86493.39082.14871.08472.1487
C61.39012.40772.78022.40771.39012.14873.39083.86493.39082.14871.0847
H71.08472.14873.39083.86493.39082.14872.47484.28654.94964.28652.4748
H82.14871.08472.14873.39083.86493.39082.47482.47484.28654.94964.2865
H93.39082.14871.08472.14873.39083.86494.28652.47482.47484.28654.9496
H103.86493.39082.14871.08472.14873.39084.94964.28652.47482.47484.2865
H113.39083.86493.39082.14871.08472.14874.28654.94964.28652.47482.4748
H122.14873.39083.86493.39082.14871.08472.47484.28654.94964.28652.4748

picture of Benzene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 120.000 C1 C2 H8 120.000
C1 C6 C5 120.000 C1 C6 H12 120.000
C2 C1 C6 120.000 C2 C1 H7 120.000
C2 C3 C4 120.000 C2 C3 H9 120.000
C3 C2 H8 120.000 C3 C4 C5 120.000
C3 C4 H10 120.000 C4 C3 H9 120.000
C4 C5 C6 120.000 C4 C5 H11 120.000
C5 C4 H10 120.000 C5 C6 H12 120.000
C6 C1 H7 120.000 C6 C5 H11 120.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.126      
2 C -0.126      
3 C -0.126      
4 C -0.126      
5 C -0.126      
6 C -0.126      
7 H 0.126      
8 H 0.126      
9 H 0.126      
10 H 0.126      
11 H 0.126      
12 H 0.126      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.039 0.000 0.000
y 0.000 -31.039 0.000
z 0.000 0.000 -38.394
Traceless
 xyz
x 3.677 0.000 0.000
y 0.000 3.677 0.000
z 0.000 0.000 -7.355
Polar
3z2-r2-14.710
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.710 0.000 0.000
y 0.000 10.705 0.000
z 0.000 0.000 3.913


<r2> (average value of r2) Å2
<r2> 127.230
(<r2>)1/2 11.280